Design of a discrete-time output-feedback based repetitive-control system

Authors:
Lan Zhou;Jin-Hua She;Min Wu
Affiliations:
School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China 411201;School of Computer Science, Tokyo University of Technology, Tokyo, Japan 192-0982;School of Information Science and Engineering, Central South University, Changsha, China 410083
Venue:
International Journal of Automation and Computing
Year:
2013

Citing 4
Cited 0

Robust and optimal control

Robust and optimal control
Discrete Time Linear Optimal Repetitive Control - A Low Order Controller Scheme

CICSYN '10 Proceedings of the 2010 2nd International Conference on Computational Intelligence, Communication Systems and Networks
Design of discrete-time repetitive control system based on two-dimensionalmodel

International Journal of Automation and Computing
Adaptive iterative learning control for nonlinearly parameterized systems with unknown time-varying delay and unknown control direction

International Journal of Automation and Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper deals with the problem of designing a robust discrete output-feedback based repetitive-control system for a class of linear plants with periodic uncertainties. The periodicity of the repetitive-control system is exploited to establish a two-dimensional (2D) model that converts the design problem into a robust stabilization problem for a discrete 2D system. By employing Lyapunov stability theory and the singular-value decomposition of the output matrix, a linear-matrix-inequality (LMI) based stability condition is derived. The condition can be used directly to design the gains of the repetitive controller. Two tuning parameters in the LMI enable the preferential adjustment of control and learning. A numerical example illustrates the design procedure and demonstrates the validity of the method.